Hi, that was a very honest post, and you’re gonna get slated for it! But to answer your actual question without abusing you (some of the previous comments are rotten)... of course you can make up for this, you’re not a horrible person, you just lost your cool big time. Have a grown up conversation where you explain you are learning to be a teacher at home now as well as a mum, and yesterday things went really wrong. Explain what you felt when you realised he hadn’t done the work by himself. Tell him you don’t want him to fall behind on schoolwork because it’s really important otherwise he will have an awful lot of work to do when he goes back to school, and you don’t want that, you want him to have fun and enjoy his friends and hobbies once we can all go out again,
Ask him what he thinks would help him to concentrate on the homework. All kids test boundaries, and your kid is testing yours, but also he probably isn’t ready to work unsupervised so in his defence, slacking off probably didn’t seem like the crime of the century. If he doesn’t have any ideas, I would suggest you make sure you spend the day with him today, and observe, make sure he does little bits of work but don’t badger him. find out the issues - it boredom, having better things to do like playing, getting stuck, being lonely and not having a work partner...
My DD had some successful online sessionS where I found a friend of hers and they did their work whilst chatting on FaceTime on the iPad. this mimicked how they work with a partner at school and they got a lot done. You could try that,
My DD likes a structure but not a timetable. We agree what she will attempt to do every day - I run through the work in overview and give her easy tasks when I’m busy with the baby. I also gave her an old iPhone so if she gets stuck when I’m not in the room, she can FaceTime message over WiFi to ask me to come and help her. I let her choose some activities (“so, for maths today, do you want to do the multiplication activities or the online quiz. And shall we do French today and Geography tomorrow or the other way round?”)
In short, the best way to undo the damage is discuss it in a fairly adult way, admit your shortcomings, ask him to cooperate with you so you don’t have another horrible day like that again, and then be a model parent for the foreseeable.
Make sure he gets lots of activity during the day. Ideally fresh air. If he can’t sit still while he is working let him jump around, but next time it happens encourage him to finish his current sentence/task first, and the time after that encourage him to wait for a recess in 5 minutes and so on. This way he learns to delay his impulse to stop work whenever he feels like it.
I would also tell him, separately, that you’d likely him to help round the house - being given responsibility often helps. Ideally something physical and fun. My DD gets a kick out of occasional chores like steam cleaning the tiled floors, or washing windows/the car, digging in the garden. Feeling helpful, knowing you are expected to be a useful member of the household, achieving something that pleases your mum...it is healing for both of you.